the Bochner integral for \(H^p(\mathbb {D})\) . As in the proof of Theorem 1 to show that this equality holds for all \(z\in \mathbb {D}\)  it suffices to prove the continuity of its left-hand side. To this end first note that by [1]}
\(|f(\varphi _w(z))|\le \frac{ \Vert f\Vert _{H^p}}{(1-|\varphi _w(z)|^2)^{1/p}}.\) 
